To minimize concussion and high pay out for insurance, NHL analyze the games regarding hits taken...

To minimize concussion and high pay out for insurance, NHL analyze the games regarding hits taken by players. Data shows that players absorb an average of 355 hits to the head with a standard deviation of 80 hits during the season. What is the probability on a randomly selected 48 players from the league’s 1200 players that the average number of hits per player is between 340 and 360?

Solutions

Expert Solution

Solution :

Given that ,

mean = = 355

standard deviation = = 80

n = 48

= 355

= / $\sqrt$ n= 80 / $\sqrt$ 48=11.55

P(340< <360 ) = P[(340-355) /11.55 < ( - ) / < (360-355) /11.5 )]

= P(-1.30< Z <0.43 )

= P(Z <0.43 ) - P(Z <-1.30 )

Using z table

=0.6664-0.0968

=0.5696

probability= 0.5696

orchestra answered 2 years ago

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